Find AC if AB = 17 and BC = 9

Answer:

24x² - 13x -2

Step-by-step explanation:

To get the area of a rectanglenyou have to multiply the length and the width:

(8x+1) (3x−2)

Using Foil Method:

24x² -16x + 3x -2

24x² -13x -2

Answer:  see proof below

Step-by-step explanation:

Given: A + B + C = π                    →    A + B = π - C

                                                    →    A + C = π - B

Use the Cofunction Identities:   sin (π - A) = sin A

                                                    sin (A - π/2) = cos A

                                                    cos (π/2 - A) = - sin A

Use the Power Reducing Identity:  sin ² A - sin² B = sin (A + B) · sin (A - B)

Use the Sum to Product Identity:

                                               sin A - sin B = 2 [cos (A + B)/2] · [sin (A - B)/2]

Proof LHS → RHS:

LHS:                                   sin² A - sin² B - sin² C

                                       = (sin² A - sin² B) - sin² C

Power Reducing:           sin (A + B) · sin (A - B) - sin² C

Given:                             sin (π - C) · sin (A - B) - sin² C

Cofunction:                    sin C · sin (A - B) - sin² C

Factor:                            sin C [sin (A - B) - sin C]

[tex]\text{Sum to Product:}\qquad \sin C\bigg[2\cos \bigg(\dfrac{(A-B)+C}{2}\bigg)\cdot \sin \bigg(\dfrac{(A-B)-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{(A+C)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(B+C)}{2}\bigg)\bigg][/tex]

[tex]\text{Given:}\qquad \qquad 2\sin C\bigg[\cos \bigg(\dfrac{(\pi - B)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(\pi - A)}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi -2B}{2}\bigg)\cdot \sin \bigg(\dfrac{2A-\pi}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi}{2} -B}\bigg)\cdot \sin \bigg(A-\dfrac{\pi}{2}\bigg)\bigg][/tex]

Cofunction:             2 sin C (-sin B) · (cos A)

                           = -2 sin C · sin B · cos A

                           = -2 cos A · sin B · sin C

LHS = RHS:   -2 cos A · sin B · sin C = -2 cos A · sin B · sin C  [tex]\checkmark[/tex]

Step-by-step explanation:

a-2=3+6a/3

By cross multiply

3(a-2)=3+6a

3a-6=3+6a

-6-3=6a-3a

-9=3a

a=-3

Answer:

2 _ 3x. 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the x-axis. 0 Replace X X 3 35+2 3 -(x+7).

Step-by-step explanation:

Answer:

23 days

Step-by-step explanation:

We are told that the stadium holds 7500 individuals.

Now, if 600 seats have already been made, It means the number of seats left to be made to complete the stadium = 7500 - 600 = 6900 seats

We are told that 300 seats can be made in a day. Thus, number of days to be used to finish the remaining seats = 6900/300 = 23 days

Thus, it will take 23 days to complete all the 7500 seats.

Answer:

x=−1

Step-by-step explanation:

Let's solve your equation step-by-step.

−5x−16+3x=−23−9x

Step 1: Simplify both sides of the equation.

−5x−16+3x=−23−9x

−5x+−16+3x=−23+−9x

(−5x+3x)+(−16)=−9x−23(Combine Like Terms)

−2x+−16=−9x−23

−2x−16=−9x−23

Step 2: Add 9x to both sides.

−2x−16+9x=−9x−23+9x

7x−16=−23

Step 3: Add 16 to both sides.

7x−16+16=−23+16

7x=−7

Step 4: Divide both sides by 7.

7x

7

=

−7

7

x=−1

Answer:

x=−1

Answer: x= -1

Step-by-step explanation:

Answer:

1. number each step

2. start with the given informatiom

3. statements with the same reason can be combined into one step

4. draw a picture and mark it with the given information

5. you must have a reason for every statement

6. the order of the statements in the proof is not always fixed , but make sure the order makes logical sense

Answer: 3,4,5,6,52,72,86,105

Step-by-step explanation: when solving the range you find the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Answer:

$5820

Step-by-step explanation:

1500*6%=90 per month

90*(48months=4yrs)=4320

1500+4320=5820

Answer:

p=2

Step-by-step explanation:

-7p = -3p - 8

Add 3p to each side

-7p+3p = -3p+3p - 8

-4p = -8

Divide each side by -4

-4p/-4 = -8/-4

p = 2

Answer:

[tex] \huge{ \fbox{ \sf{p = 2}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: - 7p = - 3p - 8}}[/tex]

[tex] \underline{ \underline{ \mathfrak{Let's \: solve}}} : [/tex]

[tex] \text{Step \: 1} : \sf{Move \: 3p \: to \: left \: hand \: side \: and \: change \: it's \: sign}[/tex]

[tex] \mapsto{ \sf{ - 7p + 3p = - 8}}[/tex]

[tex] \text{Step \: 2} : \sf{Collect \: like \: terms}[/tex]

[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base}[/tex]

[tex] \mapsto{ \sf{ - 4p = - 8}}[/tex]

[tex] \text{Step \: 3} : \sf{Divide \: both \: sides \: by \: - 4}[/tex]

[tex] \mapsto{ \sf{ \frac{ - 4p}{ - 4} = \frac{ - 8}{ - 4}}} [/tex]

[tex] \text{Step \: 4} : \sf{Calculate}[/tex]

[tex] \mapsto{ \sf{p = 2}}[/tex]

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

Answer:

y>0 Option D

Step-by-step explanation:

Answer:

The answer is D.)

Step-by-step explanation:

This is right on edg. 2020

Answer:

i got dis the answer is 13

Step-by-step explanation:

so its going 31 to the right minus 8 so 23 to the right. for it to get to be 10 it would be 13

Step-by-step explanation:

400,000x600x30/32+1

400,000x600=240,000,000x30=7,200,000,000/32=

225,000,000+1=225,000,001

Really? -_-

Answer:

slope =  [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (- 5, - 1)

m = [tex]\frac{-1-6}{-5+2}[/tex] =  [tex]\frac{-7}{-3}[/tex] = [tex]\frac{7}{3}[/tex]

Answer:

False

Step-by-step explanation:

Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees.

Answer:

i would say closer to 15.1

Step-by-step explanation:

Answer:

it is 12.2

Step-by-step explanation:

Answer:

In deductive reasoning, if the given facts are true and you apply the correct logic, then the conclusion must be true.

Step-by-step explanation:

Answer:

All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.

Step-by-step explanation:

Answer: 6 tons

Step-by-step explanation: 4:10 is also 2/5 so all we need to do is 2/5 of 15 which is 6. [15x(2/5)]

Hope this helps!

Please mark Brainliest!

Answer:

A.) +28

B.) -16

C.) 10,048

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5 x 5 = 25

Answer:

15 students on each bus!

Step-by-step explanation:

100-10(with parents)

90÷6(how many busses)

15 students on each

The students travelling on each bus are 15.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

Total number of students is given as 100.

The students to travel on car are 10.

Then, the students to travel on bus are given by following operation as,

Total students - Students to travel on car

⇒ 100 - 10 = 90

Now, the students on each bus can be obtained by using the division operation as below,

Students to travel on bus ÷ Total number of bus

⇒ 90 ÷ 6 = 15

Hence, the number of students on each bus is obtained as 15.

To know more about arithmetic operation click on,

https://brainly.com/question/25834626

#SPJ2

Answer: Uhhhhh no question...

Step-by-step explanation:

Answer:

heheheeheh

Step-by-step explanation:

Answer:

3.125%

Step-by-step explanation:

1/8=0.125

3+0.125=3.125

Answer:

the answer is

1/32

Step-by-step explanation:

let me know of its right

Answer:

B

Step-by-step explanation:

Open circle represents < and >

Since -5 is less than x, that is the starting point.

1 is greater than x, that is the end point.

Best of Luck!

Answer:

-107/61

Step-by-step explanation:

-49x-63+3x+2=15x+40+6

-46x-61=15x+46

61x=-107

x=-107/61

the answer is 2/3 !!

yw gl

Answer:

The slope is -4/3

I hope this helps :)

Answer: 6

Step-by-step explanation:

Given DE, EF and DF, we know that DE and EF make up DF. We add DE and EF and set it equal to DF.

6x+4x=10                 [add]

10x=10                      [divide both sides by 10]

x=1

Now that we know x=1, we can plug that into DE.

6(1)=6

Now, we know that DE is 6.